1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DENIUS [597]
4 years ago
8

When using the inspection method, which number would you add to (and subtract from) the constant term of the numerator in this e

xpression so the polynomial in the numerator will have(x+4) as a factor?

Mathematics
1 answer:
guajiro [1.7K]4 years ago
5 0
We are looking for k in the equation

(x+4)(x+k/4) = x^2+7x+k

The left hand side expands to:
x^2+(4+k/4)x+k = x^2+7x+k

Comparing coefficients for the linear terms, we have the equation

(4+k/4)=7
Solving for k:
16+k=28
k=12

Thus the number to be subtracted is 15-k=15-12=3
You might be interested in
PLZ HELP WILL GIVE BRAINLIEST!!
velikii [3]
I think the two datas have somewhat similar distribution.
5 0
3 years ago
Read 2 more answers
MAX POINTS!
zheka24 [161]

<u>Answer:</u>

\frac{200}{3} square units

<u>Step-by-step explanation:</u>

Knowing the function and that the triangle is formed by both the x and y-axis, you already have the triangle's height, which is 10 (the y-intercept of the functon) To find the base length, all you have to do is find the x-intercept. To do that, simply:

Set function equal to 0 and solve for x:

f(x) = 10 - \frac{3}{4} x

0 = 10 - \frac{3}{4} x

\frac{3}{4} x = 10

x = \frac{40}{3}

This means that the base length of the triangle is also  \frac{40}{3}. Now that you have the height and base length, you can

Plug values into the formula for the area of a triangle:

The area of a triangle is \frac{1}{2} × height × base

Height = 10, base = \frac{40}{3}

Area = \frac{1}{2} × 10 × \frac{40}{3}

Area = 5 × \frac{40}{3}

Area =  \frac{200}{3}

8 0
3 years ago
Write the following equation in the general form Ax + By + c = 0. 1/2 y- 1/3 x-1=0
alexandr1967 [171]

Answer:

2x- 3y = - 6

Step-by-step explanation:

given \frac{1}{2} y - \frac{1}{3} x - 1 = 0

multiply all terms by 6 to eliminate the fractions

3y - 2x - 6 = 0 ( multiply all terms by - 1 )

- 3y + 2x + 6 = 0 ( subtract 6 from both sides )

2x - 3y = - 6 ← in standard form



7 0
3 years ago
What is the least common multiple of 3, 2, and 9?
saveliy_v [14]

Answer:

18 is the LCM

3 0
3 years ago
Which of the following graphs shows the Blue line rotated 90 degrees CW around (0,2) then reflected over the x-axis?
Diano4ka-milaya [45]
Sorry, I need to see the graph options.
4 0
4 years ago
Other questions:
  • Gracie read 150 pages of a book she got for her birthday the book is 227 pages long whats the right equation
    6·1 answer
  • Justify each step x/3-7=11 x/3=18 x=6
    12·1 answer
  • What does it mean when root mean square equals 0??
    6·1 answer
  • If Ben ran 6 miles a day for twenty-eight days, how many total miles did he<br> run?
    15·1 answer
  • Please help. I think Ik the answer but I want to make sure it’s correct
    10·2 answers
  • The function g(x) is shown on the graph. If f(x) = −3x − 5, which statement is true when comparing f(x) to g(x). A) f(x) is incr
    6·1 answer
  • PLZ IF UARE BIG BRAIN AT MATH I NEED HELP PLZ :(
    15·2 answers
  • Solve <br><br> 8V - 4(v + 8) = 8
    6·2 answers
  • PLEASE HELP ASAP!! I NEED TO GET MY MATH GRADE UP
    6·1 answer
  • Which point would not be a solution to the system of linear inequalities shown<br> below?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!